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Using ruler and compasses, construct a parallelogram ABCD given that AB = 4 cm, AC = 10 cm, BD = 6 cm. Measure BC.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line segment AB = 4 cm.
  2. Construct triangle OAB such that
    OA = 12\dfrac{1}{2} x AC = 5cm
    OB = 12\dfrac{1}{2} x BD = 3cm
    With A as center and radius 5 cm and with centre B and radius 3 cm, draw arcs intersecting each other at O.
    As, diagonals of || gm bisect each other.
  3. Produce AO to C such that OA = OC = 5cm.
  4. Produce BO to D such that OB = OD = 3cm.
  5. Join AD, BC and CD. Then ABCD is the required parallelogram.
Using ruler and compasses, construct a parallelogram ABCD given that AB = 4 cm, AC = 10 cm, BD = 6 cm. Measure BC. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

On measuring, BC = 7.2 cm.

Hence, BC = 7.2 cm.

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